Verified Answer :

meerkat18

The arithmetic sequence given above has a first term (a1) equal to 3 and the common difference (d) equal to 6. The sum of the first n terms of the sequence is calculated through  the equation,
                                Sn = (n/ 2) x (2a1 + (n - 1) x d)
Substituting,
                                S22 = (22 / 2) x (2x3 + (22 - 1) x 6) = 1452
Therefore, the answer is the first choice, 1452.

abidemiokin

The  sum of the arithmetic sequence 3, 9, 15..., if there are 22 terms is 1452

Sum of Arithmetic sequence

The formula for calculating the sum of AP is given as:

Find the last term "l"

T22 = l = 3 +(22-1)(6)

T22 = 3+21(6)

T22 = 129

Using the formula below to calculate the sum;

Sn = n/2[a+l]

a is the first term

l is the last term

n is the number of terms

Determine the sum

S22 = 22/2[3+129]

S22 = 11(132)

S22 = 1452

Hence the  sum of the arithmetic sequence 3, 9, 15..., if there are 22 terms is 1452

Learn more on sum of AP here: https://brainly.com/question/24205483

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